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Finding the Fourth Proportional to 14,532.47, 21,793.68 and 5,645.71

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Solution

The fourth proportional to 14,532.47, 21,793.68 and 5,645.71 is: 8,466.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,532.47 : 21,793.68 = 5,645.71 : x
  2. Step 2: Convert to fraction form
    14,532.47/21,793.68 = 5,645.71/x
  3. Step 3: Cross multiply
    14,532.47x = 21,793.68 × 5,645.71
  4. Step 4: Simplify right side
    14,532.47x = 123,040,688.14
  5. Step 5: Solve for x
    x = 123,040,688.14/14,532.47
  6. Step 6: Final answer
    x = 8,466.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.